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19450880 = 210529131
BaseRepresentation
bin100101000110…
…0110000000000
31100121012120222
41022030300000
514434412010
61532522212
7324221051
oct112146000
940535528
1019450880
11aa85809
126620368
1340504c7
142824728
151a93355
hex128cc00

19450880 has 88 divisors (see below), whose sum is σ = 48636720. Its totient is φ = 7454720.

The previous prime is 19450859. The next prime is 19450897. The reversal of 19450880 is 8805491.

It is a self number, because there is not a number n which added to its sum of digits gives 19450880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148415 + ... + 148545.

It is an arithmetic number, because the mean of its divisors is an integer number (552690).

Almost surely, 219450880 is an apocalyptic number.

19450880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24318360).

19450880 is an abundant number, since it is smaller than the sum of its proper divisors (29185840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19450880 is a wasteful number, since it uses less digits than its factorization.

19450880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 19450880 is about 4410.3151814808. The cubic root of 19450880 is about 268.9344376642.

The spelling of 19450880 in words is "nineteen million, four hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 131 145 160 232 256 262 290 320 464 512 524 580 640 655 928 1024 1048 1160 1280 1310 1856 2096 2320 2560 2620 3712 3799 4192 4640 5120 5240 7424 7598 8384 9280 10480 14848 15196 16768 18560 18995 20960 29696 30392 33536 37120 37990 41920 60784 67072 74240 75980 83840 121568 134144 148480 151960 167680 243136 303920 335360 486272 607840 670720 972544 1215680 1945088 2431360 3890176 4862720 9725440 19450880